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II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 = [0, 2TT). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.

II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 = [0, 2TT). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.
Transcribed Image Text:II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the shaded region as shown in the figure below. 1. Find all point/s of intersection of C₁ and C₂. Write your answer as polar coordinates (r, 0), where r > 0, 0 € [0, 2π). 2. Set up an integral for the perimeter of R. 3. Set up an integral for the area of R.
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